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Commande basée sur des observateurs pour les systèmes non-linéaires en temps discret

Abstract : Research activities presented in this thesis concerne the stabilisation, with obserber-based controllers, of discrete-time nonlinear systems. The approach which we proposed doesn't require a particular structure of the output contrary to the methods based on the the passivity theory. Unlike the jurdjevic-quinn method, it doesn't need the stability of the free dynamics. A lyapunov function common to a great number of systems is used for the analysis of stability. Moreover it has the advantage of being simply implementable. Using the results established previously, synthesis of a control law based on an extended kalman observer was given. The third section presents an observer based controller which stabilizes globally exponentially a class of nonlinear systems. An extension to delay systems was established. In the last section, we present a simple conditions in linear matrix inequalities form, which stbilizes asymptotically a large class of delay nonlinear systems. Some other conditions allowing the synthesis of observers for different classes of nonlinear systems were presented.
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Submitted on : Thursday, March 29, 2018 - 10:44:19 AM
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Kheir-Eddine Bouazza. Commande basée sur des observateurs pour les systèmes non-linéaires en temps discret. Autre. Université Henri Poincaré - Nancy 1, 2004. Français. ⟨NNT : 2004NAN10171⟩. ⟨tel-01746759⟩



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